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sum of the first four numbers in a list

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Director
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sum of the first four numbers in a list [#permalink] New post 04 Aug 2010, 10:03
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:12) wrong based on 4 sessions
If the sum of the first four numbers in a list of six consecutive even numbers is 908,
what is the sum of the last four numbers in the list?
A. 912
B. 914
C. 916
D. 920
E. 924

I tried it, but got screwed up:
let 2x be one of the numbers;
list: 2x-4, 2x-2, 2x, 2x+2, 2x+4, 2x+6
sum of the first four: (2x-4) + (2x-2) + (2x) + 2x+2)
--> 4x-4=908
x=228

sum of last four: 2x + (2x+2) + (2x+4) + (2x+6)
= 8x+12
=8(228) + 12
=1836...... non of the answers

Please what is the correct approach?
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Re: sum of the first four numbers in a list [#permalink] New post 04 Aug 2010, 10:31
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Expert's post
gmatbull wrote:
If the sum of the first four numbers in a list of six consecutive even numbers is 908,
what is the sum of the last four numbers in the list?
A. 912
B. 914
C. 916
D. 920
E. 924

I tried it, but got screwed up:
let 2x be one of the numbers;
list: 2x-4, 2x-2, 2x, 2x+2, 2x+4, 2x+6
sum of the first four: (2x-4) + (2x-2) + (2x) + 2x+2)
--> 4x-4=908
x=228

sum of last four: 2x + (2x+2) + (2x+4) + (2x+6)
= 8x+12
=8(228) + 12
=1836...... non of the answers

Please what is the correct approach?

Let the six consecutive even numbers be x, x+2, x+4, x+6, x+8, x+10.

Given: x+(x+2)+(x+4)+(x+6)=4x+12=908. Question: (x+4)+(x+6)+(x+8)+(x+10)=4x+28=?

(x+4)+(x+6)+(x+8)+(x+10)=4x+28=(4x+12)+16=908+16=924.

Answer: E.

The way you are doing is also valid. You've just made an error in calculations, plus no need even number to be 2x it can be just even x.

But anyway your approach:

Sum of the first four: (2x-4)+(2x-2)+(2x)+(2x+2)=8x-4=908;
Sum of the last four: 2x+(2x+2)+(2x+4)+(2x+6)=8x+12=(8x-4)+16=908+16=924.

Hope it's clear.
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Re: sum of the first four numbers in a list [#permalink] New post 04 Aug 2010, 11:11
oh, thanks Bunuel for the corrections.
Hope you aren't tired of receiving kudos; you know, people like you have made
kudos a trite, and one simply wonders what else to give.

Methinks, there should be a different category of kudos for genius such as Bunuel.
If I may ask, please what was you GMAT score like?
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Re: sum of the first four numbers in a list [#permalink] New post 07 Aug 2010, 03:44
Bunuel wrote:
gmatbull wrote:
If the sum of the first four numbers in a list of six consecutive even numbers is 908,
what is the sum of the last four numbers in the list?
A. 912
B. 914
C. 916
D. 920
E. 924

I tried it, but got screwed up:
let 2x be one of the numbers;
list: 2x-4, 2x-2, 2x, 2x+2, 2x+4, 2x+6
sum of the first four: (2x-4) + (2x-2) + (2x) + 2x+2)
--> 4x-4=908
x=228

sum of last four: 2x + (2x+2) + (2x+4) + (2x+6)
= 8x+12
=8(228) + 12
=1836...... non of the answers

Please what is the correct approach?

Let the six consecutive even numbers be x, x+2, x+4, x+6, x+8, x+10.

Given: x+(x+2)+(x+4)+(x+6)=4x+12=908. Question: (x+4)+(x+6)+(x+8)+(x+10)=4x+28=?

(x+4)+(x+6)+(x+8)+(x+10)=4x+28=(4x+12)+16=908+16=924.

Answer: E.
Hi Bunuel
i did the same way ..
however kindly explain this if I solve
4x+ 12 =908 , I get x = 99 ..which is not an even number . hence I was confuded whether I missed something !!
thanx
Expert Post
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Joined: 02 Sep 2009
Posts: 18705
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Kudos [?]: 22283 [0], given: 2611

Re: sum of the first four numbers in a list [#permalink] New post 07 Aug 2010, 04:04
Expert's post
gauravnagpal wrote:
Hi Bunuel
i did the same way ..
however kindly explain this if I solve
4x+ 12 =908 , I get x = 99 ..which is not an even number . hence I was confuded whether I missed something !!
thanx


4x+ 12 =908 --> x=224=even.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
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Re: sum of the first four numbers in a list [#permalink] New post 07 Aug 2010, 05:38
Bunuel wrote:
gmatbull wrote:
If the sum of the first four numbers in a list of six consecutive even numbers is 908,
what is the sum of the last four numbers in the list?
A. 912
B. 914
C. 916
D. 920
E. 924

I tried it, but got screwed up:
let 2x be one of the numbers;
list: 2x-4, 2x-2, 2x, 2x+2, 2x+4, 2x+6
sum of the first four: (2x-4) + (2x-2) + (2x) + 2x+2)
--> 4x-4=908
x=228

sum of last four: 2x + (2x+2) + (2x+4) + (2x+6)
= 8x+12
=8(228) + 12
=1836...... non of the answers

Please what is the correct approach?

Let the six consecutive even numbers be x, x+2, x+4, x+6, x+8, x+10.

Given: x+(x+2)+(x+4)+(x+6)=4x+12=908. Question: (x+4)+(x+6)+(x+8)+(x+10)=4x+28=?

(x+4)+(x+6)+(x+8)+(x+10)=4x+28=(4x+12)+16=908+16=924.

Answer: E.

The way you are doing is also valid. You've just made an error in calculations, plus no need even number to be 2x it can be just even x.

But anyway your approach:

Sum of the first four: (2x-4)+(2x-2)+(2x)+(2x+2)=8x-4=908;
Sum of the last four: 2x+(2x+2)+(2x+4)+(2x+6)=8x+12=(8x-4)+16=908+16=924.

Hope it's clear.

Well done!!!!

Thx and kudos
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Posts: 443
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Re: sum of the first four numbers in a list [#permalink] New post 08 Aug 2010, 00:49
Bunuel wrote:
gauravnagpal wrote:
Hi Bunuel
i did the same way ..
however kindly explain this if I solve
4x+ 12 =908 , I get x = 99 ..which is not an even number . hence I was confuded whether I missed something !!
thanx


4x+ 12 =908 --> x=224=even.

i am so sorry ...i reckon sleep of mind ...i dont know how could I write this ..thanx anyways for spending time on this
Re: sum of the first four numbers in a list   [#permalink] 08 Aug 2010, 00:49
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